On Pro-$p$ Cappitt Groups with finite exponent

A pro-$p$ Cappitt group is a pro-$p$ group $G$ such that $\tilde{S}(G) = \overline{ \langle L \leqslant _c G \:|\, L \ntriangleleft G \rangle }$ is a proper subgroup (i.e. $\tilde{S}(G) \ne G$). In this paper we prove that non-abelian pro-$p$ Cappitt groups whose torsion subgroup is closed and it ha...

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Bibliographic Details
Main Authors: Porto, Anderson, Lima, Igor
Format: Article
Language:English
Published: Académie des sciences 2024-05-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.562/
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